100021222220033 has 2 divisors, whose sum is σ = 100021222220034. Its totient is φ = 100021222220032.

The previous prime is 100021222219987. The next prime is 100021222220089. The reversal of 100021222220033 is 330022222120001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97160902422529 + 2860319797504 = 9857023^2 + 1691248^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021222220033 - 2²⁴ = 100021205442817 is a prime.

It is a super-3 number, since 3×100021222220033³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100021222219987 and 100021222220014.

It is not a weakly prime, because it can be changed into another prime (100021222225033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010611110016 + 50010611110017.

It is an arithmetic number, because the mean of its divisors is an integer number (50010611110017).

Almost surely, 2^{100021222220033} is an apocalyptic number.

It is an amenable number.

100021222220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021222220033 is an equidigital number, since it uses as much as digits as its factorization.

100021222220033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100021222220033 its reverse (330022222120001), we get a palindrome (430043444340034).

The spelling of 100021222220033 in words is "one hundred trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, thirty-three".